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  1. Symphonicity

    Solving for x - exponential equations to base e

    I have been struggling with this problem all day. Can anyone walk me through the steps? solve for x: e^x - 2e^-x = 1. Many thanks. I find this topic really tough.
  2. Symphonicity

    Does applying for several courses decrease your chances?

    Someone put this to me today and it got me thinking. If you put say four different universities in your preferences, do the universities see that whole list and does it affect your attractiveness as a candidate? Is it better to apply for a few different courses at two universities instead of the...
  3. Symphonicity

    find tangent line to curve and passing through point

    hi guys, I thought I knew how to solve these sorts of problems but i keep getting the wrong answer. Please help me see where I'm going wrong. So, the question asks me to find the equation of any tangent lines to the curve x^4-12x+50 that pass through the point (0,2). I start by finding the...
  4. Symphonicity

    Argument of a function - what?

    Hello, I'm looking at Mendelson's "Beginning Calculus" and having real trouble making sense of this question. "For each function f and argument x = a below, find the slope-intercept equation of the tangent line corresponding to the given argument a." The function is : f(x) = 2x^2 + x...
  5. Symphonicity

    Solving range algebraically

    Let's say you have a function in which you have a linear function divided by a parabola. How do you find the range of this? Also, how do you find the range when you have something such as a parabola divided by a parabola? Thanks for your help.
  6. Symphonicity

    UPC Maths and Science. Advice please.

    G'day. I want to study a BSc next year, and this year I am doing the UPC in Maths and Science. These start in a few weeks and since I did poorly in the HSC and did no senior level science, I have been studying year 10 level textbooks to try and get a head start for this year. I am...
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